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blagie [28]
2 years ago
10

Write an exponential decay function in the form f(x)=abx for each of Car A and Car B. Explain how you determined the value of b

for each function.

Mathematics
1 answer:
Stells [14]2 years ago
5 0

Answer:

  • See below

Step-by-step explanation:

  • Given details help to determine the function only.
  • There is no relationship between the mileage and future cost.
  • We only consider the current price, decay rate and number of years.
<h3>Car A</h3>
  • Cost = 8750
  • Year of Manufacturer = 2015
  • Decay factor = 12% or 0.12

<u>The function would be:</u>

  • f(x) = 8750*(1 - 0.12)^x = 8750*0.88^x, where x is the number of years since year 2015
<h3>Car B</h3>
  • Cost = 9995
  • Year of Manufacturer = 2017
  • Decay factor = 18% or 0.18

<u>The function would be:</u>

  • f(x) = 9995*(1 - 0.18)^x = 9995*0.82^x, where x is the number of years since year 2017

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4x + 8

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4(x+2)

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4x + 8

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soldier1979 [14.2K]

Answer:

Step-by-step explanation:

Use Pythagorean theorem.

c^2 = a^2+b^2

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7 0
3 years ago
A sphere has a radius of 11 feet. A second sphere has a radius of 8 feet. what is the difference of the volume of thespheres
Veronika [31]

The difference between the volume of the spheres is 3428.88 cubic feet

Explanation:

Given that one sphere has a radius of 11 feet.

A second sphere has a radius of 8 feet.

<u>Volume of the 1st sphere:</u>

The formula to determine the volume of the sphere is given by

V=\frac{4}{3} \pi r^3

Volume of the 1st sphere is given by

V=\frac{4}{3}(3.14)(11)^3

V=\frac{4}{3}(3.14)(1331)

V=\frac{16717.36}{3}

V=5572.45

The volume of the 1st sphere is 5572.45 cubic feet.

<u>Volume of the 2nd sphere:</u>

Volume of the 2nd sphere is given by

V=\frac{4}{3}(3.14)(8)^3

V=\frac{4}{3}(3.14)(512)

V=\frac{6430.72}{3}

V=2143.57

The volume of the 2nd sphere is 2143.57 cubic feet.

<u>Difference between the volume of the two spheres:</u>

Difference = Volume of the 1st sphere - Volume of the 2nd sphere

                  = 5572.45 - 2143.57

Difference = 3428.88 cubic feet.

Hence, the difference between the volume of the spheres is 3428.88 cubic feet.

7 0
3 years ago
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